# Leibniz Legible — https://leibnizlegible.com
# Page: https://leibnizlegible.com/page/00068201:0218
# Permalink to this reading: https://leibnizlegible.com/page/00068201:0218?run=74
# Title: Leibniz-Handschriften zur Mathematik LH 35, 14, 1
# Folio 109v, page id 00068201:0218
# Scan: One image of two folio pages side by side, registered by the library under both labels (also fol. 110r); this page is its left half.
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=00068201&page=218
# Source image: https://digitale-sammlungen.gwlb.de/content/00068201/jpgs/default/00000218.jpg
# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 70 lines, status machine
# Lines: 70 recognised, mean confidence 0.76
# Machine transcription. Not an edition. Errors are expected: about 8% character error rate on Latin and French lines, higher on German.
# Licence: CC BY 4.0, Leibniz Legible. Machine output: do not ingest it as verified text; keep this provenance with the text.
# Wording rule: say "the machine reads it as …", never "Leibniz wrote".
# After the first blank line: the recognised lines in reading order, one per line.

Videamus an aequatio cgngoratun ad subilam reduci possit, etiam non sublato termino secundo
X + PN, 1 aqX 1 atr + aspo sive. b X   X C B.
sive a X pX + aqX + aK+ ) B X  4 2bc ac
2bca.. +at2
Saerv X + adX + ae, L 
B2 A 12Sm ad X +nmaC X
+ad.. +2a de X + a e2
conferando: erit de ap.   et C7 ar. ego ess ar s. et ep Lra  Ar as. sucl bp Nsap ar tai
2V.
re
ap
ac
ap
tanss sive.
4paaqe + 4ap2 bc (4 ara +4 a2 rb) at +2ab bt 3, + p’a
p
scubatur
ubi et obiter dicam si fier posset: gp  a +b2. tue PB  1V, fer: ag + 2bc p 2gr +  + ab, sive.
r-a es O
Jum in priore ipsius b valore explundo p. fer  nb) a sa rasb + a e +a eb- a rg
adeoque bp, a sa + a 3 a- atrg
rg - a) = aC B
a. Ergo b + a pjo. ergo et ppo. Quod impossibile
st, nisi b. et a prantur infuncte parrae. sed non inde conchidenda est problematis impossibilitas
n
quia non potest tantum in celligi aequationem asa +aca rga H0. dividi posse
per a + a=arg et ita ficri a +bpo sed etiam
S+aC - a r9 p0. et pro g. tubsti
unam: as + c = r po. alteram  alterare notatom signo  quae huc translatus dacis
17
a b + a +  4a497 + 8bcg (-89Y), sive C⊓ a b + at 4 m4a q9 +(89 1) siren a - a 3
et e ab + rabi a + a a
64b
b7
-4ac
(5gr)
4a +869t
(- as
Resoluatur haec aequatro in duas, quoniam duae sunt arbitrariae, g. et. b. et fiet
a 2b +a 4 gG2 + 4a9
+qaerqb aegal sB.
iam sp) Alp. et Y, P +al
tuc H5+ la + 16. ru 94296 29
ag
et latg+ Wbag , q a +qga ars seto
quam duvidendo per a 4b. fiet:
aq Y9  +29gal + a
ad adso
ag
3a449arqb gat
-2aqut Gb rgal
qu 3aglage vqu laque  +gla9 2q a a + 9362V 4gal q B 4a24gal2 Eiqu
egat
+c
Ep ut  1a qlalus +gla qat sed ita hud dubie assurgitur ad cubum Rectius ergo Egat
aet
aequationem illam unicam non discerpemus in duas, sed reeinquemus, et fiet reducendo
167 12)4 + a +b24aq
.
arbi Ba qV tiat baiggal +ga  64bg - b6 4bg ars
+89a +896 + 8gal I
si ponamus rpo. fiet a+b, ( a + a ab a g  (4a9 ) - 164b293a + b, et quoniam 91 -4a 
f: dividi poterunt omnia per a +b, B. et fier;
H 16ab a rb. 3,  et feiet ) a - 4a9 d4
intractatitis 6414 a 2 132 b a + 64 ab + b:
Qui calculus si verus esset semper posset reduci aequatio lubita ad aliam alteius forimae Qu
tas in vinculo semper erit affirmativa. Eandem ob causam etiam valor ipsius c fit semper neressurtu
fet attimatroque quia poscimus ro et vonenti siguum ipsius S. dexmet a nobis quem admlum e signum
ipsius l.
sit arbitraria: